Math Problem Statement
Find the correlation coefficient, r, of the data described below. Adam has noticed that his bike ride to work takes longer on some days than others. He is curious to see how the morning temperature is related to the duration of his commute. For the past several mornings, he measured the temperature (in Celsius), x, and the time his commute had taken (in minutes), y. Temperature (degrees Celsius) Commute time (minutes) – 3 59 0 39 1 50 2 50 10 31 Round your answer to the nearest thousandth. r=
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationships
Formulas
Pearson correlation coefficient formula: r = (n∑xy - (∑x)(∑y)) / sqrt([n∑x^2 - (∑x)^2][n∑y^2 - (∑y)^2])
Theorems
Pearson Correlation Theorem
Suitable Grade Level
Grades 10-12
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